An Iterative Method for Solving a Class of Partial Differential Equation with Variable Coefficients
In this paper, the exact solution to partial differential equation with variable coefficients is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. It is worthy to note that our method can be employed to solve singularl...
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2008-09-01
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| Series: | Journal of Algorithms & Computational Technology |
| Online Access: | https://doi.org/10.1260/174830108785302814 |
| Summary: | In this paper, the exact solution to partial differential equation with variable coefficients is obtained in reproducing kernel space. The approximate solution is given by using an iterative method and the finite section method. It is worthy to note that our method can be employed to solve singularly-boundary value problems of a nonlinear partial differential equation with variable coefficients. Some numerical examples show our method is effective and highly accurate. |
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| ISSN: | 1748-3018 1748-3026 |